TABLE 12-2
Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent. Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson. The gender of the spokesperson and whether or not the viewer could identify the product was recorded. The numbers in each category are given below.
$$\begin{array} { l| c c }
& \text { Male Celebrity } & \text { Female Celebrity } \
\hline\text { Identified product } & 41 & 61 \
\text { Could notidentify } & 109 & 89
\end{array}$$
-Referring to Table 12-2, the degrees of freedom of the test statistic are
A) 299.
B) 1.
C) 2.
D) 4.

Question

TABLE 12-2
Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent. Each in a sample of 300 female TV viewers was asked to identify a product advertised by a celebrity spokesperson. The gender of the spokesperson and whether or not the viewer could identify the product was recorded. The numbers in each category are given below.
 $$\begin{array} { l| c c } 
& \text { Male Celebrity } & \text { Female Celebrity } \
\hline\text { Identified product } & 41 & 61 \
\text { Could notidentify } & 109 & 89
\end{array}$$
-Referring to Table 12-2, the degrees of freedom of the test statistic are
A) 299.
B) 1.
C) 2.
D) 4.

Quizplus · Accepted Answer

The degrees of freedom for a chi-square test of independence is calculated as (rows - 1) * (columns - 1). Here, there are 2 rows and 2 columns, so the degrees of freedom is (2-1)*(2-1) = 1.

TABLE 12-2 Many Companies Use Well-Known Celebrities as Spokespersons in Their

TABLE 12-2
Many Companies Use Well-Known Celebrities as Spokespersons in Their